Point/Angle,Dist
Angle and Distance Point
Creates a new point at a specified angle and distance from an existing reference point.
What It Does
The Point/Angle,Dist operator creates a new point at a specified angle and distance from an existing reference point. This is polar coordinate construction — useful when you know the direction and distance but not the X and Y offsets.
Syntax
Point/Px, Atangle, DeltaZ
Quick Input
P: [reference point]
Angle:[direction angle from +X axis, degrees]
Dist: [distance from reference point]
Z: 0
Direction Selector
No direction selector is required. The result is uniquely determined by the input geometry.
Worked Examples
Setup:
P0 = (0, 0)
Point/P0, Angle=45, Dist=50, 0
→ P1 = (35.355, 35.355) [50mm at 45°]
Point/P0, Angle=0, Dist=100, 0
→ P2 = (100, 0) [100mm along +X axis]
Point/P0, Angle=90, Dist=75, 0
→ P3 = (0, 75) [75mm straight up]
Point/P0, Angle=225, Dist=30, 0
→ P4 = (-21.213, -21.213) [30mm at 225° — lower left]
Analytic Rule
New point coordinates:
x_new = x_ref + dist * cos(angle)
y_new = y_ref + dist * sin(angle)
Angle measured from +X axis, counterclockwise.
0° = right, 90° = up, 180° = left, 270° = down.
Result: Exact analytic coordinates.
FAQ
What is the difference between Point/Angle,Dist and Point/Delta?
Point/Angle,Dist uses polar coordinates — angle and distance. Point/Delta uses Cartesian offsets — dX and dY. Both create the same types of points; choose based on which values you know.
Can I use angles greater than 360°?
Yes. Angles are normalised — 450° is equivalent to 90°. Negative angles are also supported — -90° is equivalent to 270°.